question 1: if $a = 7$ $b = 10$ $c = 3$ $d = 8$ and $e = 15$
find the value of each expression.
(a) $a + 5$
(b) $b - 4$
(c) $c + d$
(d) $e - d$
(e) $2a$
(f) $4b$
(g) $3e$
(h) $5c$
(i) $\frac{b}{2}$
(j) $\frac{e}{5}$
(k) $\frac{d}{4}$
(l) $\frac{a}{2}$
(m) $a^2$
(n) $b^2$
(o) $c^2$
(p) $d^2$
(q) $2a + 1$
(r) $3b - 7$
(s) $9c + 11$
(t) $4e - 45$
(u) $2a + 3c$
(v) $4d - b$
(w) $5a + 2d$
(x) $e - 4c$
(y) $30 - 4a$
(z) $15 - 3c$

question 2: if $f = 5$ $g = 6$ $h = 4$ and $i = 2$
find the value of each expression.
(a) $fg$
(b) $hi$
(c) $fgh$
(d) $i^3$
(e) $\sqrt{h}$
(f) $3f + 2g$
(g) $5h + 7i$
(h) $9h - 7i$

question 3: if $a = -2$ $b = 5$ $c = -6$ $d = 10$ and $e = 9$
find the value of each expression.
(a) $a + 4$
(b) $b - 8$
(c) $c + e$
(d) $a - d$
(e) $d - c$
(f) $2c$
(g) $7a$
(h) $-7b$
(i) $2d + 3c$
(j) $6e + 3a$
(k) $5a + 7$
(l) $20 + 4a$
(m) $ac$
(n) $40 - d$
(o) $2e - a$
(p) $bd + a$

Question

question 1: if $a = 7$ $b = 10$ $c = 3$ $d = 8$ and $e = 15$
find the value of each expression.
(a) $a + 5$
(b) $b - 4$
(c) $c + d$
(d) $e - d$
(e) $2a$
(f) $4b$
(g) $3e$
(h) $5c$
(i) $\frac{b}{2}$
(j) $\frac{e}{5}$
(k) $\frac{d}{4}$
(l) $\frac{a}{2}$
(m) $a^2$
(n) $b^2$
(o) $c^2$
(p) $d^2$
(q) $2a + 1$
(r) $3b - 7$
(s) $9c + 11$
(t) $4e - 45$
(u) $2a + 3c$
(v) $4d - b$
(w) $5a + 2d$
(x) $e - 4c$
(y) $30 - 4a$
(z) $15 - 3c$

question 2: if $f = 5$ $g = 6$ $h = 4$ and $i = 2$
find the value of each expression.
(a) $fg$
(b) $hi$
(c) $fgh$
(d) $i^3$
(e) $\sqrt{h}$
(f) $3f + 2g$
(g) $5h + 7i$
(h) $9h - 7i$

question 3: if $a = -2$ $b = 5$ $c = -6$ $d = 10$ and $e = 9$
find the value of each expression.
(a) $a + 4$
(b) $b - 8$
(c) $c + e$
(d) $a - d$
(e) $d - c$
(f) $2c$
(g) $7a$
(h) $-7b$
(i) $2d + 3c$
(j) $6e + 3a$
(k) $5a + 7$
(l) $20 + 4a$
(m) $ac$
(n) $40 - d$
(o) $2e - a$
(p) $bd + a$

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Algebraic Substitution", "Evaluating Expressions" ], "current_concepts": [ "Algebraic Substitution", "Evaluating Expressions", "Order of Operations" ] } ## Substitute values for Question 1 $$ \begin{aligned} &a=7,\ b=10,\ c=3,\ d=8,\ e=15\ &\text{(a) } 7+5 = 12,\ \text{(b) } 10-4 = 6,\ \text{(c) } 3+8 = 11,\ \text{(d) } 15-8 = 7\ &\text{(e) } 2(7) = 14,\ \text{(f) } 4(10) = 40,\ \text{(g) } 3(15) = 45,\ \text{(h) } 5(3) = 15\ &\text{(i) } \frac{10}{2} = 5,\ \text{(j) } \frac{15}{5} = 3,\ \text{(k) } \frac{8}{4} = 2,\ \text{(l) } \frac{7}{2} = 3.5\ &\text{(m) } 7^2 = 49,\ \text{(n) } 10^2 = 100,\ \text{(o) } 3^2 = 9,\ \text{(p) } 8^2 = 64\ &\text{(q) } 2(7)+1 = 15,\ \text{(r) } 3(10)-7 = 23,\ \text{(s) } 9(3)+11 = 38,\ \text{(t) } 4(15)-45 = 15\ &\text{(u) } 2(7)+3(3) = 23,\ \text{(v) } 4(8)-10 = 22,\ \text{(w) } 5(7)+2(8) = 51,\ \text{(x) } 15-4(3) = 3\ &\text{(y) } 30-4(7) = 2,\ \text{(z) } 15-3(3) = 6 \end{aligned} $$ ## Substitute values for Question 2 $$ \begin{aligned} &f=5,\ g=6,\ h=4,\ i=2\ &\text{(a) } 5 \times 6 = 30,\ \text{(b) } 4 \times 2 = 8,\ \text{(c) } 5 \times 6 \times 4 = 120,\ \text{(d) } 2^3 = 8\ &\text{(e) } \sqrt{4} = 2,\ \text{(f) } 3(5)+2(6) = 27,\ \text{(g) } 5(4)+7(2) = 34,\ \text{(h) } 9(4)-7(2) = 22 \end{aligned} $$ ## Substitute values for Question 3 $$ \begin{aligned} &a=-2,\ b=5,\ c=-6,\ d=10,\ e=9\ &\text{(a) } -2+4 = 2,\ \text{(b) } 5-8 = -3,\ \text{(c) } -6+9 = 3,\ \text{(d) } -2-10 = -12\ &\text{(e) } 10-(-6) = 16,\ \text{(f) } 2(-6) = -12,\ \text{(g) } 7(-2) = -14,\ \text{(h) } -7(5) = -35\ &\text{(i) } 2(10)+3(-6) = 2,\ \text{(j) } 6(9)+3(-2) = 48,\ \text{(k) } 5(-2)+7 = -3,\ \text{(l) } 20+4(-2) = 12\ &\text{(m) } (-2)(-6) = 12,\ \text{(n) } 40-10 = 30,\ \text{(o) } 2(9)-(-2) = 20,\ \text{(p) } 5(10)+(-2) = 48 \end{aligned} $$ ## Question 1 | Part | Answer | Part | Answer | |---|---|---|---| | (a) | $12$ | (b) | $6$ | | (c) | $11$ | (d) | $7$ | | (e) | $14$ | (f) | $40$ | | (g) | $45$ | (h) | $15$ | | (i) | $5$ | (j) | $3$ | | (k) | $2$ | (l) | $3.5$ | | (m) | $49$ | (n) | $100$ | | (o) | $9$ | (p) | $64$ | | (q) | $15$ | (r) | $23$ | | (s) | $38$ | (t) | $15$ | | (u) | $23$ | (v) | $22$ | | (w) | $51$ | (x) | $3$ | | (y) | $2$ | (z) | $6$ | ## Question 2 | Part | Answer | |---|---| | (a) | $30$ | | (b) | $8$ | | (c) | $120$ | | (d) | $8$ | | (e) | $2$ | | (f) | $27$ | | (g) | $34$ | | (h) | $22$ | ## Question 3 | Part | Answer | Part | Answer | |---|---|---|---| | (a) | $2$ | (b) | $-3$ | | (c) | $3$ | (d) | $-12$ | | (e) | $16$ | (f) | $-12$ | | (g) | $-14$ | (h) | $-35$ | | (i) | $2$ | (j) | $48$ | | (k) | $-3$ | (l) | $12$ | | (m) | $12$ | (n) | $30$ | | (o) | $20$ | (p) | $48$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute values for Question 1

Substitute values for Question 2

Substitute values for Question 3

Answer:

Question 1

Question 2

Question 3

Part	Answer	Part	Answer
(c)	\(11\)	(d)	\(7\)
(e)	\(14\)	(f)	\(40\)
(g)	\(45\)	(h)	\(15\)
(i)	\(5\)	(j)	\(3\)
(k)	\(2\)	(l)	\(3.5\)
(m)	\(49\)	(n)	\(100\)
(o)	\(9\)	(p)	\(64\)
(q)	\(15\)	(r)	\(23\)
(s)	\(38\)	(t)	\(15\)
(u)	\(23\)	(v)	\(22\)
(w)	\(51\)	(x)	\(3\)
(y)	\(2\)	(z)	\(6\)

Part	Answer
(b)	\(8\)
(c)	\(120\)
(d)	\(8\)
(e)	\(2\)
(f)	\(27\)
(g)	\(34\)
(h)	\(22\)

Part	Answer	Part	Answer
(c)	\(3\)	(d)	\(-12\)
(e)	\(16\)	(f)	\(-12\)
(g)	\(-14\)	(h)	\(-35\)
(i)	\(2\)	(j)	\(48\)
(k)	\(-3\)	(l)	\(12\)
(m)	\(12\)	(n)	\(30\)
(o)	\(20\)	(p)	\(48\)